879567 has 16 divisors (see below), whose sum is σ = 1330560. Its totient is φ = 512352.

The previous prime is 879553. The next prime is 879581. The reversal of 879567 is 765978.

It is an interprime number because it is at equal distance from previous prime (879553) and next prime (879581).

It is not a de Polignac number, because 879567 - 2¹⁶ = 814031 is a prime.

879567 is a lucky number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 879567.

It is not an unprimeable number, because it can be changed into a prime (879167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 148 + ... + 1334.

It is an arithmetic number, because the mean of its divisors is an integer number (83160).

2⁸⁷⁹⁵⁶⁷ is an apocalyptic number.

879567 is a deficient number, since it is larger than the sum of its proper divisors (450993).

879567 is a wasteful number, since it uses less digits than its factorization.

879567 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1222.

The product of its digits is 105840, while the sum is 42.

The square root of 879567 is about 937.8523337925. The cubic root of 879567 is about 95.8126772536.

The spelling of 879567 in words is "eight hundred seventy-nine thousand, five hundred sixty-seven".